If X follows a binomial distribution with parameters `n=100 and p=(1)/(3),` then P(X=r) is maximum, when r equals

Options

A. 32
B. 34
C. 33
D. 31

Answer

C

Explanation

We, have,
`(n+1)p=(101)/(3)` which is not an integer.
`therefore P(X=r)` is maximum when `r=[(101)/(3)]=33`